{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import sklearn.datasets as datasets\n",
    "\n",
    "import torch\n",
    "from torch import nn\n",
    "from torch import optim\n",
    "\n",
    "from nflows.flows.base import Flow\n",
    "from nflows.distributions.normal import StandardNormal\n",
    "from nflows.transforms.base import CompositeTransform\n",
    "from nflows.transforms.autoregressive import MaskedAffineAutoregressiveTransform\n",
    "from nflows.transforms.permutations import ReversePermutation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, y = datasets.make_moons(128, noise=.1)\n",
    "plt.scatter(x[:, 0], x[:, 1]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_layers = 5\n",
    "base_dist = StandardNormal(shape=[2])\n",
    "\n",
    "transforms = []\n",
    "for _ in range(num_layers):\n",
    "    transforms.append(ReversePermutation(features=2))\n",
    "    transforms.append(MaskedAffineAutoregressiveTransform(features=2, \n",
    "                                                          hidden_features=4))\n",
    "transform = CompositeTransform(transforms)\n",
    "\n",
    "flow = Flow(transform, base_dist)\n",
    "optimizer = optim.Adam(flow.parameters())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WeVfUy+7duYe8lz5ge8g67a56yckEN20/Lsi8UDFZd9GbxRNHao/Pe3rCQL8LnlMGnxSwBfoQTYTISXQhiqYrszKfTdpnkTWZYEhZQHq0Mt30lYx4fMJAZxqfFLCn9CEvMVRJwOT8NdmmntV0ldYMVWZgXlvNULPwqT2cULgoGqSuJEJEE0OWRJKmE7BZsqgyMC+maVnUzVV4YtspgouiIbr+AYa6XWkfJBHThizKRBdJpu+Y14QsmugB5ThFcFF0QNPRRKgxEn2SREwbAq4qC6BxWTRB1xc1Tv9xUTRAl3mJUFFEHyUR0zdZZDVFtSEL7yrrNI2LIjAhKrGq0cTYmpqy6JMsoPi57yKy8OYnpy4uihZp8gc6T5KI6bMsZkUVjjNEXBQBCdHkVCWamEdJxHTZvl5VFn3MV3iewsnCRRGIrvIS8yyJmK66zsK4ZOE4s3BRBCBURVU2mggxJcfQJRHTN1kUwWXhDAUXRcM0FU2Med6mqnQti1k3QMrKV5SRhYvF6QoXRU1CNTmViSZcErPpUhZAJVn0Bc9TOLNwUdSgix+W33Aonz7JIkmdfIVHE8Mknqss7TEkXBQVyfugm4gmXBLF6VoWMVmfWVFZ5EmiSoTiYymaoYwMhiQMF0UDhP4Rhpq3KWZeKomucxYxs5qgYG9ZxI/kMqff1I0ShiALF0UF2uwK21QU4bIIQ2hZxEwLw+kfISOCvkcXLoqSjEESMTuOWfLsw6lOla6zRWQRkqLNm32urPpC3yv1JnBRlKDNL0fb+YgxS6PLqT6SFLn/dln62oNqjLQhiL4KKIgoJJ0h6XuStki6KGX9BZIekXRL9HhzYt06SfdEj3UhytMEIZPXSdKu9LpOWielMRZx9GVeqLyZZr3i7yd9rcDborYoJO0DfBB4LXA8cL6k41M2/bSZnRg9Lo/2PQi4GHg5cDJwsaTldcsUmqYkAXtXHF1LIo2xiGMIsgCPEvrGvEsCwkQUJwNbzOw+M9sFXAWcVXDfXwU2mdljZvY4sAk4I0CZgtGkJIbKWMTRFG3JwoXSPHUkMf07GfJvJYQoDgceSrxeiJZN8+uSbpN0jaQjSu6LpPWSNkvavOuZpwIUO5+2riT6GEWUYUg/hrY+06LjLJK0HVn0/bPqmirflbzfwRB+I2mEEEVad4rpmu+LwBozewnwFeCKEvtOFpptMLO1ZrZ28aLnVS5sSEJ+4KHHSnRJ338MXcoiK6qAYrLIy2XUTZJ7U0t1SdTdtsoFRhuEEMUCcETi9Spga3IDM3vUzOJfyF8DP190367wH0t9+i6MNigiiyLNUMmH0y+qfs+H9NsIIYqbgWMlHSVpMXAesDG5gaTDEi/PBO6Knl8PnC5peZTEPj1a1ilFJDGkD7lr+tgs1fWFQN7EjCG6zjrVKPPd6NN3uklqi8LMdgNvZVLB3wVcbWZ3SLpE0pnRZm+TdIekW4G3ARdE+z4G/DET2dwMXBItc0ZKn4TRdb6ibDOU0zwuiXRkNrx28WX7rbRTVpzb2Pt7RNEefZjyvK124Vnfq+R3KW1czc7VuwofY5ZcZuW/ss5/X9vLm6SoKEL9/pPnv43zfd32y75tZmvL7ucjs1OYxx9IV/SxWaopqozehknl79FF8zQhiSeOVOk7V/YRF4XTG7oSRpv5irzkNsy++ndZdE+R72csh6Qghi4LF4XTO7oQRt+S27O6S2dFFy6S6oRobs6LHoYsCxeF01vG2iRVJLkdkxVdJMXQhCS6lmdbhPg/q0igD/m5orgonN7TljC6boKCcrKA+vmLMYq4CbLOU4hIoe95URfFDPr+wc0jbQijL7Iomrdw6uE9HIvhonAGx5h+uGVuejSmaV7GwpDzDmVwUTiDpElZtN02X/YOeW3KYsx5irrRxLxIAlwUzoCZd1kUFYZHIe1TZpDkEHBROINmXpuhYrw5qhpNRRM7V+96VhJjkoWLwhk8Tcmii2aXKrIAF0YZmkpgp4lhLLJwUcxgzG2zY2SeZFFEGMlHXfy3sCd15+MaIi4KZzTMSzMUDGuwVp/w7rDVcFFUwL9I/aWJz6arK2qXRf+oEk2MIdpwUTijoylZ9K0ZCvKbokIxhuanJqKJshIYapdaF4UzSuYlZxHTljDmmaFW8iFwUaQwhqsnZ/5kAd4cNYs+RBOzGMJ0QS6Kknh+YliMTRZdRhdDvYAKNYX4PBNEFJLOkPQ9SVskXZSy/ncl3SnpNklflXRkYt3Tkm6JHhtDlKdPjOUOV0NmTLKActGFN0k1wxgS1GWoLQpJ+wAfBF4LHA+cL+n4qc3+GVhrZi8BrgHek1j3lJmdGD3OrFueugz1qsnphr4muaeZJYyxS8SjiTCEiChOBraY2X1mtgu4CjgruYGZ3WhmT0YvbwIGWRt7s9NwGdP05DFFm6KSJKOMsUuiKeYtmoAwojgceCjxeiFaNosLgS8lXu8vabOkmySdPWsnSeuj7TbveuapeiV25pIxygLaTYYOKeJuc3DdmlWPPPsowxAS2QD7BniPtLgsdd4ASb8FrAV+JbF4tZltlXQ0cIOk283s3r3e0GwDsAFg2X4rG5nUJuuLVfUL5fPvzBfxd6jtCiA+3pAq8iYJJYnpZqci0cSaVY9w/8IhudsNiRARxQJwROL1KmDr9EaSXgO8EzjTzJ6Nec1sa/T3PuBrwMsClMlxUmmr+XDM0cW8yKhobiItisiLLIbW7BdCFDcDx0o6StJi4Dxgj95Lkl4GfJiJJB5OLF8uaUn0fAVwKnBngDKVpolowplvukx0D6VJownanB227L5DbWGoLQoz2w28FbgeuAu42szukHSJpLgX0/8EDgA+M9UN9sXAZkm3AjcCl5pZJ6KYhUtifLT9mXYZXcyzMOpQJ5oYIyFyFJjZtcC1U8v+MPH8NTP2+wbw70OUoQ7zEko73dFV7iJ5zJDf813HreqlhNqMJuZFEuAjs73JaU7p6rPt8qJk7BGGTyHeHHMviln4F8ppiq4j2LELoy5VejqNnbkWRdc/WKdburwY6MN3LxbGGKTRdjRRp9lpaD2eIFCOYoh4k5PTNV3mLaaZLkPW76MP5W2KItFEFUkseXDxXsuGdB7nUhR9uJpz+sGOY5Z0foXXx8Rw38qTRVOD65znmOump1l0XXE47dKHCNIvXqrRZJPTvPd0SjJ3ovAfpNNXuhqgN1SGdq6GOtgO5rDpafHdC4W+YHFU0YerzdCUiZjG+P+n0YcmqJiiFeCQmodCU/QcFf3+erNTNnMnCig3AGnZvTsHX1nWqQCn9x36uRgTad/fscujrSgiZLNTWiJ7aMylKGLKRBdDqiCbvDIec6Q1Bqa/z2MRRxVBeDQRjrkWBRSPLvosiy6aTJLH7Ot5KUufmp9CkfxeD1EaTUcQaZJoMokdf7+G9lnMvShiikYXfaBvldkYpTFGhiKNEL9D/x6GxUWRIE8WXUUVfRNDFkNvmhpjVJFG36QR8iKtznfPp+tIx0VRkjZkMYaKyqOM4dCVNLqO4NucSnzIXWPBRbEXXTRBjUEMWQwtypiXqCKNNpLhTf6++hZNjKHHE7goOmFeK6E+dwhw0gnVBbeNi68y362mo4mx3TPbRZFC6FzFvIohjaFEF/McVeRRVB5tRuZ1JdF2bqKP83tl4aIIjFcuxRiKMJxidJlvaEoS8zqvUxpBRCHpDOB/A/sAl5vZpVPrlwAfB34eeBR4g5ndH637feBC4GngbWZ2fYgyNc2QhFDmyqWr/EwfheFRRf9pormpLnGzU5yfiBPZQ/4u1RaFpH2ADwKnAQvAzZI2mtmdic0uBB43s5+RdB7w58AbJB0PnAecALwI+IqknzWzp+uWa16pG84m929TGn0WhtNPQkgidDQxttxETIiI4mRgi5ndByDpKuAsICmKs4B3Rc+vAT4gSdHyq8xsJ/ADSVui9/tmgHKNmjbaN8vMiRWKviW8PaoYNllRRJNNTnnRxJDyExBGFIcDDyVeLwAvn7WNme2WtAM4OFp+09S+h6cdRNJ6YD3A/osOCFDs4dD1l6rtKMOjCyePvt2IKBlJTEtiDIQQRdqnMX2GZm1TZN/JQrMNwAaAZfutHM8nkKBrIRShTWn0RRgeVfSLEJII2cspTRJjI4QoFoAjEq9XAVtnbLMgaV9gGfBYwX1HyRCkkEdb0uiLMJxh0AdJJKOJoTc7QRhR3AwcK+ko4IdMktO/MbXNRmAdk9zDOcANZmaSNgJ/K+m9TJLZxwL/FKBMvWKIX4yytCENF4aT99m3JYnppHVRSQyV2qKIcg5vBa5n0j32o2Z2h6RLgM1mthH4CPCJKFn9GBOZEG13NZPE927gvw65x9M8CKEITUujC2F481P31JVEUZISiBPbWb2ZZkkijaHWETIbXnP/sv1W2ikrzm38OLMquaF+2F3SVJTRpixcFN0RQhJNz+U0LYk+Njldt/2yb5vZ2rL7+cjsDPrwwY6FpiZbbLM7rUcV7ROqd1NoSUwnrfMkMXQWdV0AZ35YfPdCI/Jddu/O0f0wnXFJYugXnR5ROK3T1EC+NqILjyqap6/3us4TBIxTEuARhdMhTUUXznDpY4+2JQ8uLhRFjFUS4BGF0zFNRBd9mwbEKUZTE/wteXBx6eanWQPn5imKSOIRhdMLQv+wmowsXELhaXoW2LSooMx2Sx+wuYsiknhE4fSG0NGFRxbDoM2pwtOiiyyBzBoXMetCZIySAI8onB4SsndUUz2iXEBh6OI8JsVQZW6meZMEuCicHhPyh+dJ7uETspdTkaaoovmIecBF4fSapsZeON3T56is7BThY/+Oeo7CGQQh8hehcxbxe83rVWZVyn4GbY+X8LzE3rgonEFRdyqQJhLcZd9vXsUyNkHAfEgCXBTOAGlq3qi2mK4w50EcLolh4zkKZ5DU+ZH2rWLeccySPR5jY6iScJ7DIwpnsAw9sphFsmLtm9TK0pUkkmMlqt6e1KOJ53BROIOmqiyGMhhvyNJoWxJN3G/CmeBNT87gmZeruyE1TfVJEi6Q+nhE4YyCsTZDpdHnbrlVRFZHEnUl4PmJYtSKKCQdJGmTpHuiv8tTtjlR0jcl3SHpNklvSKz7mKQfSLolepxYpzzOfFN2cF4fK9oy9CXCqJOI71ISWQz9uxGauk1PFwFfNbNjga9Gr6d5EniTmZ0AnAH8haQDE+vfbmYnRo9bapbHceamKSqmK2HUPW7bvZvKlKEPAu4TdUVxFnBF9PwK4OzpDczs+2Z2T/R8K/AwcEjN4zpOJkVlMaYrxzaEEaob79AT1/PSzBlTVxQvNLNtANHflVkbSzoZWAzcm1j8p1GT1Pskzfz2SVovabOkzbueeapmsZ15YN4ii5jQwgg9xqNuc1PXkphHcpPZkr4CHJqy6p1lDiTpMOATwDozeyZa/PvAdiby2AC8A7gkbX8z2xBtw7L9VnoGyinEPCW5p6nbtTZ0dNJlFLFz9a7K4ynSmLeLkFxRmNlrZq2T9CNJh5nZtkgED8/Y7gXAPwB/YGY3Jd57W/R0p6S/AX6vVOkdpwDzLIuYotJoqumqr0lrpxh1u8duBNYBl0Z/vzC9gaTFwOeBj5vZZ6bWxZIRk/zGd2uWx3FScVk8R5uJ2jKCqCKENaseAeD+hWppT5/jqRh1RXEpcLWkC4EHgXMBJK0F3mJmbwZeD/wycLCkC6L9Loh6OH1K0iGAgFuAt9Qsj+M4PaCoIKpGC7Egkq+zZFGm2cklsTe1RGFmjwKvTlm+GXhz9PyTwCdn7P+qOsd3HKcfVGlaCiWJqpS9g928SgJ8ZLYzR8xqfgo571NWhTnGUcBDEERaNOF3sCuHi8JxalCmohyLRKompruOIPKY5zvY5eGicJwKhB5VnHy/Pkqjq66tISRRp2usS2KCi8KZK0L0fmp66ok+SWNIgshLaGeRFk24JJ7DReE4JWh7fqIupNGWHKrI4LRD797j9abtx+31ntOymI4mps/jtCRcEHvjonCcgnQ9iV3T0mhjUFwIOdTBJVENF4XjDJC4Uq8rjL7KAaoJIiuaSJ4rF0Q5XBTO3DGmUdrTFX1RcbTRcylPECEjhTTSJOGCqIaLwnFGRJFIo+mxD10JIhlNxJLwKCIMLgrHGSFpkcbYBAQhQjsAAAr6SURBVJFMZLskmsVF4cwl081PIUdn95GmJFEk/1BEEOe84DvPPr/mJyflbp/EJdE8LgrHaZE6U2aHvJ9CFm0KAvaURPw6TxZxNJEmiSQuiTC4KJy5pWxUUbX5JqbufRXS9g8tj7wyNiGIa35yUqmIIk8SXQ9SHCMuCscpQRtt/XXet444ssoYKv8wHT3EFG1uKiMJjybC4aJw5poxdZWF2ZV9nkCqSqJsgrps/iHJ9ChscEm0hYvCcUpStwmqC+rcPS6NpsdATJPWw8kl0R4uCmfuSUYVY+/9VIRZgmhbDjF1JOGEwUXhOFMUkcUQo4o8+iaIaapIwqOJMNQShaSDgE8Da4D7gdeb2eMp2z0N3B69fNDMzoyWHwVcBRwEfAd4o5k1k/VznMB0IYsQ92eYng+pa0Gk5R7iY08nr10S3SCz6l3JJL0HeMzMLpV0EbDczN6Rst1PzeyAlOVXA58zs6skfQi41cz+Ku+4y/ZbaaesOLdyuR0njemkdpkmqCLC6Psd3mK6FEQaLolwXLf9sm+b2dqy+y2qedyzgCui51cAZxfdUZKAVwHXVNnfcZqmTHt3U33325TEaYfe3TtJxLgkuqVujuKFZrYNwMy2SVo5Y7v9JW0GdgOXmtnfAQcDPzaz3dE2C8DhNcvjOJVJ6yobV0RFoou4ApsVXSx5cHHQuZNC0WYOIk0QaXeli//36XUuiW7IFYWkrwCHpqx6Z4njrDazrZKOBm6QdDvwk5TtZl6WSVoPrAfYf9FerViO0yhlhRFKFiHpMildVBBp64rM3wQuiSbJFYWZvWbWOkk/knRYFE0cBjw84z22Rn/vk/Q14GXAZ4EDJe0bRRWrgK0Z5dgAbIBJjiKv3I7TBEWFEUIW9y8cUjuq6EOPpWlJlLmvtUuiH9TNUWwE1kXP1wFfmN5A0nJJS6LnK4BTgTttkkW/ETgna3/HaZOiFc6ye3fm5jCWPmAzcxdLHlxcaLqNMpXqNEOQRHweZj3AJdEH6oriUuA0SfcAp0WvkbRW0uXRNi8GNku6lYkYLjWzO6N17wB+V9IWJjmLj9Qsj+PUpkzFU1QYsygqizrC6IJN24/ba6DcdHNSkf/dJdEPanWP7QrvHuu0QZU5oLKapLK60DaV5O4iqsiKItLkUKTHmEsiDF11j3Wc0VKlIsqKMEI0RUG5CGP6yr5pykgi63wkcUl0j0/h4TgZJCukMhFG1jQgWd1o48q0aLIbikUYm7YfVyu6KCubtFxETJkxJz7BXz9wUThOQeJKqqgw8npI5fWMgrDCiCv7LGGEiD7yoogkZQY1uiS6w0XhOCUJKYwig/Ri8qSRrKCzpNFUU1SZKKLsLK8uiW5xUThORco2S9URBlSTRhOTCOaRFUVUmQbcJdE9LgrHCUCZKKOuMKC4NMoKo2433LKSyDtvLol+4KJwnICEFgaEkcasZqkiYqhyH+6y4x9cCP3GReE4DVCmWapI0jsmtDTy3qMsebkIF8IwcVE4TsMUjTKKzCM1XREXyWkU6Tk1Sw51pk93SYwHF4XjtERIYcQUEUeZCCHEfTVcEOPDReE4LVNWGFD8bntlmqnS9skrR1lcEuPAReE4HVEljxFTNtpISiNLDHWkMI1LYjy4KBynB1QdxDdNkYR40feqigtifLgoHKdHVJ1bKiat0p+WR1ExeIXvxLgoHKenlI0yZuFicOrionCcnlO2Ai8jFpeDUwQXheOMjLTKP5aHi8GpgovCceYAF4RTB7/DneM4jpNJLVFIOkjSJkn3RH+Xp2zzSkm3JB7/KunsaN3HJP0gse7EOuVxHMdxwlM3orgI+KqZHQt8NXq9B2Z2o5mdaGYnAq8CngS+nNjk7fF6M7ulZnkcx3GcwNQVxVnAFdHzK4Czc7Y/B/iSmT1Z87iO4zhOS8is+iRgkn5sZgcmXj9uZns1PyXW3wC818z+Pnr9MeAXgZ1EEYmZpXb6lrQeWB+9/HfAdysXvD1WAP/SdSEKMIRyDqGM4OUMjZczLD9nZkvL7pQrCklfAQ5NWfVO4IqiopB0GHAb8CIz+7fEsu3AYmADcK+ZXZJbaGmzma3N265rvJzhGEIZwcsZGi9nWKqWM7d7rJm9JuOgP5J0mJltiyr9hzPe6vXA52NJRO+9LXq6U9LfAL9XsNyO4zhOS9TNUWwE1kXP1wFfyNj2fODK5IJILkgSk/zGEJqTHMdx5oq6orgUOE3SPcBp0WskrZV0ebyRpDXAEcD/mdr/U5JuB25n0sb3JwWPu6FesVvDyxmOIZQRvJyh8XKGpVI5ayWzHcdxnPHjI7Mdx3GcTFwUjuM4TiaDEIWkcyXdIekZSTO7dkm6X9Lt0XQgm9ssY3T8ouU8Q9L3JG2RtNdo9qYpMvVKtN3TielVNrZUtsxzI2mJpE9H678V5b9ap0A5L5D0SOL8vbmDMn5U0sOSUjuJaML7o//hNkkntV3GqBx55XyFpB2Jc/mHbZcxKscRkm6UdFf0O/9vKdt0ek4LlrH8+TSz3j+AFwM/B3wNWJux3f3Aij6XE9gHuBc4msn4kVuB41su53uYDG6EybQrfz5ju5+2XK7ccwP8F+BD0fPzgE938DkXKecFwAfaLttUGX4ZOAn47oz1rwO+BAj4BeBbPS3nK4C/7/JcRuU4DDgper4U+H7K597pOS1YxtLncxARhZndZWbf67oceRQs58nAFjO7z8x2AVcxmQqlTcpOvdIWRc5NsuzXAK+Oule3SR8+w1zM7OvAYxmbnAV83CbcBBwYd1lvkwLl7AVmts3MvhM9fwK4Czh8arNOz2nBMpZmEKIogQFflvTtaMqPPnI48FDi9QIBPsiSvNCiwY7R35Uztttf0mZJNyma8bdhipybZ7cxs93ADuDgFsqWWoaIWZ/hr0fND9dIOqKdopWiD9/FovyipFslfUnSCV0XJmryfBnwralVvTmnGWWEkuezNzcuUsZUIWaWNZAvyalmtlXSSmCTpLujq5VgBChn2tVv8D7KWeUs8Taro/N5NHCDpNvN7N4wJUylyLlp5fzlUKQMXwSuNLOdkt7CJAp6VeMlK0cfzmURvgMcaWY/lfQ64O+AY7sqjKQDgM8Cv21mP5lenbJL6+c0p4ylz2dvRGEZU4WUeI+t0d+HJX2eSRNBUFEEKOcCk8GHMauArTXfcy+yyqmCU68kzud9kr7G5OqkSVEUOTfxNguS9gWW0X6zRW45zezRxMu/Bv68hXKVpZXvYl2SFZ2ZXSvpMkkrzKz1Sfgk7cekAv6UmX0uZZPOz2leGaucz9E0PUl6vqSl8XPgdPo5JcjNwLGSjpK0mElCtpUeRQlyp16RtFzSkuj5CuBU4M6Gy1Xk3CTLfg5wg0UZuhbJLedUu/SZTNqK+8ZG4E1RT51fAHbYc/Ov9QZJh8Z5KEknM6m3Hs3eq5FyCPgIcJeZvXfGZp2e0yJlrHQ+28zI18jk/xoTU+8EfgRcHy1/EXBt9PxoJr1PbgXuYNIU1Lty2nM9I77P5Oq8i3IezGRa93uivwdFy9cCl0fPT2Eytcqt0d8LWyrbXucGuAQ4M3q+P/AZYAvwT8DRHX0n88r57uh7eCtwI3BcB2W8EtgG/Fv0vbwQeAvwlmi9gA9G/8PtZPQo7Licb02cy5uAUzoq5y8xaUa6DbgleryuT+e0YBlLn0+fwsNxHMfJZDRNT47jOE4zuCgcx3GcTFwUjuM4TiYuCsdxHCcTF4XjOI6TiYvCcRzHycRF4TiO42Ty/wGznew792tNAQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "num_iter = 5000\n",
    "for i in range(num_iter):\n",
    "    x, y = datasets.make_moons(128, noise=.1)\n",
    "    x = torch.tensor(x, dtype=torch.float32)\n",
    "    optimizer.zero_grad()\n",
    "    loss = -flow.log_prob(inputs=x).mean()\n",
    "    loss.backward()\n",
    "    optimizer.step()\n",
    "    \n",
    "    if (i + 1) % 500 == 0:\n",
    "        xline = torch.linspace(-1.5, 2.5)\n",
    "        yline = torch.linspace(-.75, 1.25)\n",
    "        xgrid, ygrid = torch.meshgrid(xline, yline)\n",
    "        xyinput = torch.cat([xgrid.reshape(-1, 1), ygrid.reshape(-1, 1)], dim=1)\n",
    "\n",
    "        with torch.no_grad():\n",
    "            zgrid = flow.log_prob(xyinput).exp().reshape(100, 100)\n",
    "\n",
    "        plt.contourf(xgrid.numpy(), ygrid.numpy(), zgrid.numpy())\n",
    "        plt.title('iteration {}'.format(i + 1))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
